22212618344136 has 288 divisors, whose sum is σ = 68368482819000. Its totient is φ = 6505206681600.

The previous prime is 22212618343999. The next prime is 22212618344167. The reversal of 22212618344136 is 63144381621222.

22212618344136 is a `hidden beast` number, since 2 + 2 + 2 + 1 + 26 + 183 + 441 + 3 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 22212312444036 + 305900100 = 4712994^2 + 17490^2 .

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 22212618344091 and 22212618344100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 47798016 + ... + 48260496.

Almost surely, 2^{22212618344136} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22212618344136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34184241409500).

22212618344136 is an abundant number, since it is smaller than the sum of its proper divisors (46155864474864).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22212618344136 is a wasteful number, since it uses less digits than its factorization.

22212618344136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462701 (or 462683 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

Adding to 22212618344136 its reverse (63144381621222), we get a palindrome (85356999965358).

The spelling of 22212618344136 in words is "twenty-two trillion, two hundred twelve billion, six hundred eighteen million, three hundred forty-four thousand, one hundred thirty-six".